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Finding the Fourth Proportional to 128.14, 193.02 and 109.30

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Solution

The fourth proportional to 128.14, 193.02 and 109.30 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 193.02 = 109.30 : x
  2. Step 2: Convert to fraction form
    128.14/193.02 = 109.30/x
  3. Step 3: Cross multiply
    128.14x = 193.02 × 109.30
  4. Step 4: Simplify right side
    128.14x = 21,097.09
  5. Step 5: Solve for x
    x = 21,097.09/128.14
  6. Step 6: Final answer
    x = 164.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.